# How do you graph #2(y-1) > 3(x+1)#?

##### 2 Answers

The inequality can be rewritten under the form

after the following operations:

The graph of the equation

Therefore, the graph of our inequality will be the semi-plane situated above the blue line defined by the equation

graph{y > 3/2 x + 5/2 [-10, 10, -5, 5]}

Distribute the

Convert the inequality to slope-intercept form while keeping the inequality.

Add

Divide both sides by

In order to graph

Determine two points on the line by temporarily making

If

Point =

If

Point =

Plot the two points and draw a dashed line -------- through the two points. This represents that the points on the line are not part of the inequality. Then shade in the area above the dashed line.

graph{y>(3x)/2+(5)/2 [-16.02, 16, -8.01, 8.01]}